117152572251200 has 336 divisors, whose sum is σ = 292077628127040. Its totient is φ = 46246703431680.

The previous prime is 117152572251163. The next prime is 117152572251359. The reversal of 117152572251200 is 2152275251711.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28763212364 + ... + 28763216436.

It is an arithmetic number, because the mean of its divisors is an integer number (869278655140).

Almost surely, 2^{117152572251200} is an apocalyptic number.

117152572251200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117152572251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146038814063520).

117152572251200 is an abundant number, since it is smaller than the sum of its proper divisors (174925055875840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117152572251200 is a wasteful number, since it uses less digits than its factorization.

117152572251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 41.

The spelling of 117152572251200 in words is "one hundred seventeen trillion, one hundred fifty-two billion, five hundred seventy-two million, two hundred fifty-one thousand, two hundred".